The paper deals with two crucial steps in multi-criteria decision analysis, that are consistency of the judgments and priority vectors for alternatives/criteria. From a side, several consistency indices are proposed for measuring the consistency of a Pairwise Comparison Matrix. From another one, conditions weaker than consistency, such as transitivity and weak consistency, are proposed for representing further levels of coherence of a Decision Maker when he/she expresses his/her preferences by means of reciprocal Pairwise Comparison Matrix. Firstly, in this paper, a simulation is performed in order to establish a relation between random consistency index and coherence level. Then, since weak consistency ensures reliability to priority vectors proposed in literature, a second simulation is performed in order to measure, in case of no weak consistency, the reliability of these priority vectors.

Computing random consistency indices and assessing priority vectors reliability / Cavallo, Bice. - In: INFORMATION SCIENCES. - ISSN 0020-0255. - 420:(2017), pp. 532-542. [10.1016/j.ins.2017.08.082]

Computing random consistency indices and assessing priority vectors reliability

CAVALLO, BICE
2017

Abstract

The paper deals with two crucial steps in multi-criteria decision analysis, that are consistency of the judgments and priority vectors for alternatives/criteria. From a side, several consistency indices are proposed for measuring the consistency of a Pairwise Comparison Matrix. From another one, conditions weaker than consistency, such as transitivity and weak consistency, are proposed for representing further levels of coherence of a Decision Maker when he/she expresses his/her preferences by means of reciprocal Pairwise Comparison Matrix. Firstly, in this paper, a simulation is performed in order to establish a relation between random consistency index and coherence level. Then, since weak consistency ensures reliability to priority vectors proposed in literature, a second simulation is performed in order to measure, in case of no weak consistency, the reliability of these priority vectors.
2017
Computing random consistency indices and assessing priority vectors reliability / Cavallo, Bice. - In: INFORMATION SCIENCES. - ISSN 0020-0255. - 420:(2017), pp. 532-542. [10.1016/j.ins.2017.08.082]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/683351
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